这个答案基于：
所以这里是：
网格和屏幕之间的转换
正如我在评论中提到的，您应该制作在屏幕和单元格位置之间转换的函数。类似（在C++ 中）：
//---------------------------------------------------------------------------
// tile sizes
const int cxs=100;
const int cys= 50;
const int czs= 15;
const int cxs2=cxs>>1;
const int cys2=cys>>1;
// view pan (no zoom)
int pan_x=0,pan_y=0;
//---------------------------------------------------------------------------
void isometric::cell2scr(int &sx,int &sy,int cx,int cy,int cz) // grid -> screen
{
sx=pan_x+(cxs*cx)+((cy&1)*cxs2);
sy=pan_y+(cys*cy/2)-(czs*cz);
}
//---------------------------------------------------------------------------
void isometric::scr2cell(int &cx,int &cy,int &cz,int sx,int sy) // screen -> grid
{
// rough cell ground estimation (no z value yet)
cy=(2*(sy-pan_y))/cys;
cx= (sx-pan_x-((cy&1)*cxs2))/cxs;
cz=0;
// isometric tile shape crossing correction
int xx,yy;
cell2scr(xx,yy,cx,cy,cz);
xx=sx-xx; mx0=cx;
yy=sy-yy; my0=cy;
if (xx<=cxs2) { if (yy> xx *cys/cxs) { cy++; if (int(cy&1)!=0) cx--; } }
else { if (yy>(cxs-xx)*cys/cxs) { cy++; if (int(cy&1)==0) cx++; } }
}
//---------------------------------------------------------------------------
我使用了您的布局（我花了一段时间将我的布局转换为它，希望我不会在某处犯一些愚蠢的错误）：
- 红叉表示由返回的坐标
cell2scr(x,y,0,0,0)
- 绿色十字代表鼠标坐标
- aqua highlight代表返回的单元格位置
请注意，如果您使用的是整数算术，则需要记住，如果除以/乘以一半大小可能会失去精度。2对于这种情况，使用全尺寸并将结果除以（过去花很多时间弄清楚那个）。
这cell2scr很简单。屏幕位置是平移偏移 + 单元格位置乘以其大小（步长）。的x轴线需要偶数/奇数行的校正（这就是((cy&1)*cxs2)为）和y轴由移位z轴线（((cy&1)*cxs2)）。我的屏幕(0,0)左上角有一个点，+x轴指向右+y指向下。
这scr2cell是通过从方程代数求解屏幕位置来完成的，cell2scr同时假设z=0只选择网格地面。最重要的是，如果鼠标位置在找到的单元格区域之外，则添加偶数/奇数校正。
扫描邻居
该scr2cell(x,y,z,mouse_x,mouse_y)收益只是其中细胞你的鼠标在地面上。因此，如果您想添加当前的选择功能，您需要扫描该位置的顶部单元格和几个相邻的单元格，然后选择距离最小的单元格。
无需扫描整个网格/地图，只需返回位置周围的几个单元格。这应该会大大加快速度。
我这样做：
行数取决于单元z轴大小 ( czs)、最大z层数 ( gzs) 和单元大小 ( cys)。我的带有扫描的C++代码如下所示：
// grid size
const int gxs=15;
const int gys=30;
const int gzs=8;
// my map (all the cells)
int map[gzs][gys][gxs];
void isometric::scr2cell(int &cx,int &cy,int &cz,int sx,int sy)
{
// rough cell ground estimation (no z value yet)
cy=(2*(sy-pan_y))/cys;
cx= (sx-pan_x-((cy&1)*cxs2))/cxs;
cz=0;
// isometric tile shape crossing correction
int xx,yy;
cell2scr(xx,yy,cx,cy,cz);
xx=sx-xx;
yy=sy-yy;
if (xx<=cxs2) { if (yy> xx *cys/cxs) { cy++; if (int(cy&1)!=0) cx--; } }
else { if (yy>(cxs-xx)*cys/cxs) { cy++; if (int(cy&1)==0) cx++; } }
// scan closest neighbors
int x0=-1,y0=-1,z0=-1,a,b,i;
#define _scann \
if ((cx>=0)&&(cx<gxs)) \
if ((cy>=0)&&(cy<gys)) \
{ \
for (cz=0;(map[cz+1][cy][cx]!=_cell_type_empty)&&(cz<czs-1);cz++); \
cell2scr(xx,yy,cx,cy,cz); \
if (map[cz][cy][cx]==_cell_type_full) yy-=czs; \
xx=(sx-xx); yy=((sy-yy)*cxs)/cys; \
a=(xx+yy); b=(xx-yy); \
if ((a>=0)&&(a<=cxs)&&(b>=0)&&(b<=cxs)) \
if (cz>=z0) { x0=cx; y0=cy; z0=cz; } \
}
_scann; // scan actual cell
for (i=gzs*czs;i>=0;i-=cys) // scan as many lines bellow actual cell as needed
{
cy++; if (int(cy&1)!=0) cx--; _scann;
cx++; _scann;
cy++; if (int(cy&1)!=0) cx--; _scann;
}
cx=x0; cy=y0; cz=z0; // return remembered cell coordinate
#undef _scann
}
这总是选择顶部单元格（所有可能的最高单元格）在玩鼠标时感觉正确（至少对我而言）：
这是我今天为此破坏的等距引擎的完整VCL/C++源代码：
//---------------------------------------------------------------------------
//--- Isometric ver: 1.01 ---------------------------------------------------
//---------------------------------------------------------------------------
#ifndef _isometric_h
#define _isometric_h
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
// colors 0x00BBGGRR
DWORD col_back =0x00000000;
DWORD col_grid =0x00202020;
DWORD col_xside=0x00606060;
DWORD col_yside=0x00808080;
DWORD col_zside=0x00A0A0A0;
DWORD col_sel =0x00FFFF00;
//---------------------------------------------------------------------------
//--- configuration defines -------------------------------------------------
//---------------------------------------------------------------------------
// #define isometric_layout_1 // x axis: righ+down, y axis: left+down
// #define isometric_layout_2 // x axis: righ , y axis: left+down
//---------------------------------------------------------------------------
#define isometric_layout_2
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
/*
// grid size
const int gxs=4;
const int gys=16;
const int gzs=8;
// cell size
const int cxs=100;
const int cys= 50;
const int czs= 15;
*/
// grid size
const int gxs=15;
const int gys=30;
const int gzs=8;
// cell size
const int cxs=40;
const int cys=20;
const int czs=10;
const int cxs2=cxs>>1;
const int cys2=cys>>1;
// cell types
enum _cell_type_enum
{
_cell_type_empty=0,
_cell_type_ground,
_cell_type_full,
_cell_types
};
//---------------------------------------------------------------------------
class isometric
{
public:
// screen buffer
Graphics::TBitmap *bmp;
DWORD **pyx;
int xs,ys;
// isometric map
int map[gzs][gys][gxs];
// mouse
int mx,my,mx0,my0; // [pixel]
TShiftState sh,sh0;
int sel_x,sel_y,sel_z; // [grid]
// view
int pan_x,pan_y;
// constructors for compiler safety
isometric();
isometric(isometric& a) { *this=a; }
~isometric();
isometric* operator = (const isometric *a) { *this=*a; return this; }
isometric* operator = (const isometric &a);
// Window API
void resize(int _xs,int _ys); // [pixels]
void mouse(int x,int y,TShiftState sh); // [mouse]
void draw();
// auxiliary API
void cell2scr(int &sx,int &sy,int cx,int cy,int cz);
void scr2cell(int &cx,int &cy,int &cz,int sx,int sy);
void cell_draw(int x,int y,int tp,bool _sel=false); // [screen]
void map_random();
};
//---------------------------------------------------------------------------
//---------------------------------------------------------------------------
isometric::isometric()
{
// init screen buffers
bmp=new Graphics::TBitmap;
bmp->HandleType=bmDIB;
bmp->PixelFormat=pf32bit;
pyx=NULL; xs=0; ys=0;
resize(1,1);
// init map
int x,y,z,t;
t=_cell_type_empty;
// t=_cell_type_ground;
// t=_cell_type_full;
for (z=0;z<gzs;z++,t=_cell_type_empty)
for (y=0;y<gys;y++)
for (x=0;x<gxs;x++)
map[z][y][x]=t;
// init mouse
mx =0; my =0; sh =TShiftState();
mx0=0; my0=0; sh0=TShiftState();
sel_x=-1; sel_y=-1; sel_z=-1;
// init view
pan_x=0; pan_y=0;
}
//---------------------------------------------------------------------------
isometric::~isometric()
{
if (pyx) delete[] pyx; pyx=NULL;
if (bmp) delete bmp; bmp=NULL;
}
//---------------------------------------------------------------------------
isometric* isometric::operator = (const isometric &a)
{
resize(a.xs,a.ys);
bmp->Canvas->Draw(0,0,a.bmp);
int x,y,z;
for (z=0;z<gzs;z++)
for (y=0;y<gys;y++)
for (x=0;x<gxs;x++)
map[z][y][x]=a.map[z][y][x];
mx=a.mx; mx0=a.mx0; sel_x=a.sel_x;
my=a.my; my0=a.my0; sel_y=a.sel_y;
sh=a.sh; sh0=a.sh0; sel_z=a.sel_z;
pan_x=a.pan_x;
pan_y=a.pan_y;
return this;
}
//---------------------------------------------------------------------------
void isometric::resize(int _xs,int _ys)
{
if (_xs<1) _xs=1;
if (_ys<1) _ys=1;
if ((xs==_xs)&&(ys==_ys)) return;
bmp->SetSize(_xs,_ys);
xs=bmp->Width;
ys=bmp->Height;
if (pyx) delete pyx;
pyx=new DWORD*[ys];
for (int y=0;y<ys;y++) pyx[y]=(DWORD*) bmp->ScanLine[y];
// center view
cell2scr(pan_x,pan_y,gxs>>1,gys>>1,0);
pan_x=(xs>>1)-pan_x;
pan_y=(ys>>1)-pan_y;
}
//---------------------------------------------------------------------------
void isometric::mouse(int x,int y,TShiftState shift)
{
mx0=mx; mx=x;
my0=my; my=y;
sh0=sh; sh=shift;
scr2cell(sel_x,sel_y,sel_z,mx,my);
if ((sel_x<0)||(sel_y<0)||(sel_z<0)||(sel_x>=gxs)||(sel_y>=gys)||(sel_z>=gzs)) { sel_x=-1; sel_y=-1; sel_z=-1; }
}
//---------------------------------------------------------------------------
void isometric::draw()
{
int x,y,z,xx,yy;
// clear space
bmp->Canvas->Brush->Color=col_back;
bmp->Canvas->FillRect(TRect(0,0,xs,ys));
// grid
DWORD c0=col_zside;
col_zside=col_back;
for (y=0;y<gys;y++)
for (x=0;x<gxs;x++)
{
cell2scr(xx,yy,x,y,0);
cell_draw(xx,yy,_cell_type_ground,false);
}
col_zside=c0;
// cells
for (z=0;z<gzs;z++)
for (y=0;y<gys;y++)
for (x=0;x<gxs;x++)
{
cell2scr(xx,yy,x,y,z);
cell_draw(xx,yy,map[z][y][x],(x==sel_x)&&(y==sel_y)&&(z==sel_z));
}
// mouse0 cross
bmp->Canvas->Pen->Color=clBlue;
bmp->Canvas->MoveTo(mx0-10,my0); bmp->Canvas->LineTo(mx0+10,my0);
bmp->Canvas->MoveTo(mx0,my0-10); bmp->Canvas->LineTo(mx0,my0+10);
// mouse cross
bmp->Canvas->Pen->Color=clGreen;
bmp->Canvas->MoveTo(mx-10,my); bmp->Canvas->LineTo(mx+10,my);
bmp->Canvas->MoveTo(mx,my-10); bmp->Canvas->LineTo(mx,my+10);
// grid origin cross
bmp->Canvas->Pen->Color=clRed;
bmp->Canvas->MoveTo(pan_x-10,pan_y); bmp->Canvas->LineTo(pan_x+10,pan_y);
bmp->Canvas->MoveTo(pan_x,pan_y-10); bmp->Canvas->LineTo(pan_x,pan_y+10);
bmp->Canvas->Font->Charset=OEM_CHARSET;
bmp->Canvas->Font->Name="System";
bmp->Canvas->Font->Pitch=fpFixed;
bmp->Canvas->Font->Color=clAqua;
bmp->Canvas->Brush->Style=bsClear;
bmp->Canvas->TextOutA(5, 5,AnsiString().sprintf("Mouse: %i x %i",mx,my));
bmp->Canvas->TextOutA(5,20,AnsiString().sprintf("Select: %i x %i x %i",sel_x,sel_y,sel_z));
bmp->Canvas->Brush->Style=bsSolid;
}
//---------------------------------------------------------------------------
void isometric::cell2scr(int &sx,int &sy,int cx,int cy,int cz)
{
#ifdef isometric_layout_1
sx=pan_x+((cxs*(cx-cy))/2);
sy=pan_y+((cys*(cx+cy))/2)-(czs*cz);
#endif
#ifdef isometric_layout_2
sx=pan_x+(cxs*cx)+((cy&1)*cxs2);
sy=pan_y+(cys*cy/2)-(czs*cz);
#endif
}
//---------------------------------------------------------------------------
void isometric::scr2cell(int &cx,int &cy,int &cz,int sx,int sy)
{
int x0=-1,y0=-1,z0=-1,a,b,i,xx,yy;
#ifdef isometric_layout_1
// rough cell ground estimation (no z value yet)
// translate to (0,0,0) top left corner of the grid
xx=sx-pan_x-cxs2;
yy=sy-pan_y+cys2;
// change aspect to square cells cxs x cxs
yy=(yy*cxs)/cys;
// use the dot product with axis vectors to compute grid cell coordinates
cx=(+xx+yy)/cxs;
cy=(-xx+yy)/cxs;
cz=0;
// scan closest neighbors
#define _scann \
if ((cx>=0)&&(cx<gxs)) \
if ((cy>=0)&&(cy<gys)) \
{ \
for (cz=0;(map[cz+1][cy][cx]!=_cell_type_empty)&&(cz<czs-1);cz++); \
cell2scr(xx,yy,cx,cy,cz); \
if (map[cz][cy][cx]==_cell_type_full) yy-=czs; \
xx=(sx-xx); yy=((sy-yy)*cxs)/cys; \
a=(xx+yy); b=(xx-yy); \
if ((a>=0)&&(a<=cxs)&&(b>=0)&&(b<=cxs)) \
if (cz>=z0) { x0=cx; y0=cy; z0=cz; } \
}
_scann; // scan actual cell
for (i=gzs*czs;i>=0;i-=cys) // scan as many lines bellow actual cell as needed
{
cy++; _scann;
cx++; cy--; _scann;
cy++; _scann;
}
cx=x0; cy=y0; cz=z0; // return remembered cell coordinate
#undef _scann
#endif
#ifdef isometric_layout_2
// rough cell ground estimation (no z value yet)
cy=(2*(sy-pan_y))/cys;
cx= (sx-pan_x-((cy&1)*cxs2))/cxs;
cz=0;
// isometric tile shape crossing correction
cell2scr(xx,yy,cx,cy,cz);
xx=sx-xx;
yy=sy-yy;
if (xx<=cxs2) { if (yy> xx *cys/cxs) { cy++; if (int(cy&1)!=0) cx--; } }
else { if (yy>(cxs-xx)*cys/cxs) { cy++; if (int(cy&1)==0) cx++; } }
// scan closest neighbors
#define _scann \
if ((cx>=0)&&(cx<gxs)) \
if ((cy>=0)&&(cy<gys)) \
{ \
for (cz=0;(map[cz+1][cy][cx]!=_cell_type_empty)&&(cz<czs-1);cz++); \
cell2scr(xx,yy,cx,cy,cz); \
if (map[cz][cy][cx]==_cell_type_full) yy-=czs; \
xx=(sx-xx); yy=((sy-yy)*cxs)/cys; \
a=(xx+yy); b=(xx-yy); \
if ((a>=0)&&(a<=cxs)&&(b>=0)&&(b<=cxs)) \
if (cz>=z0) { x0=cx; y0=cy; z0=cz; } \
}
_scann; // scan actual cell
for (i=gzs*czs;i>=0;i-=cys) // scan as many lines bellow actual cell as needed
{
cy++; if (int(cy&1)!=0) cx--; _scann;
cx++; _scann;
cy++; if (int(cy&1)!=0) cx--; _scann;
}
cx=x0; cy=y0; cz=z0; // return remembered cell coordinate
#undef _scann
#endif
}
//---------------------------------------------------------------------------
void isometric::cell_draw(int x,int y,int tp,bool _sel)
{
TPoint pnt[5];
bmp->Canvas->Pen->Color=col_grid;
if (tp==_cell_type_empty)
{
if (!_sel) return;
bmp->Canvas->Pen->Color=col_sel;
pnt[0].x=x; pnt[0].y=y ;
pnt[1].x=x+cxs2; pnt[1].y=y+cys2;
pnt[2].x=x+cxs; pnt[2].y=y ;
pnt[3].x=x+cxs2; pnt[3].y=y-cys2;
pnt[4].x=x; pnt[4].y=y ;
bmp->Canvas->Polyline(pnt,4);
}
else if (tp==_cell_type_ground)
{
if (_sel) bmp->Canvas->Brush->Color=col_sel;
else bmp->Canvas->Brush->Color=col_zside;
pnt[0].x=x; pnt[0].y=y ;
pnt[1].x=x+cxs2; pnt[1].y=y+cys2;
pnt[2].x=x+cxs; pnt[2].y=y ;
pnt[3].x=x+cxs2; pnt[3].y=y-cys2;
bmp->Canvas->Polygon(pnt,3);
}
else if (tp==_cell_type_full)
{
if (_sel) bmp->Canvas->Brush->Color=col_sel;
else bmp->Canvas->Brush->Color=col_xside;
pnt[0].x=x+cxs2; pnt[0].y=y+cys2;
pnt[1].x=x+cxs; pnt[1].y=y;
pnt[2].x=x+cxs; pnt[2].y=y -czs;
pnt[3].x=x+cxs2; pnt[3].y=y+cys2-czs;
bmp->Canvas->Polygon(pnt,3);
if (_sel) bmp->Canvas->Brush->Color=col_sel;
else bmp->Canvas->Brush->Color=col_yside;
pnt[0].x=x; pnt[0].y=y;
pnt[1].x=x+cxs2; pnt[1].y=y+cys2;
pnt[2].x=x+cxs2; pnt[2].y=y+cys2-czs;
pnt[3].x=x; pnt[3].y=y -czs;
bmp->Canvas->Polygon(pnt,3);
if (_sel) bmp->Canvas->Brush->Color=col_sel;
else bmp->Canvas->Brush->Color=col_zside;
pnt[0].x=x; pnt[0].y=y -czs;
pnt[1].x=x+cxs2; pnt[1].y=y+cys2-czs;
pnt[2].x=x+cxs; pnt[2].y=y -czs;
pnt[3].x=x+cxs2; pnt[3].y=y-cys2-czs;
bmp->Canvas->Polygon(pnt,3);
}
}
//---------------------------------------------------------------------------
void isometric::map_random()
{
int i,x,y,z,x0,y0,r,h;
// clear
for (z=0;z<gzs;z++)
for (y=0;y<gys;y++)
for (x=0;x<gxs;x++)
map[z][y][x]=_cell_type_empty;
// add pseudo-random bumps
Randomize();
for (i=0;i<10;i++)
{
x0=Random(gxs);
y0=Random(gys);
r=Random((gxs+gys)>>3)+1;
h=Random(gzs);
for (z=0;(z<gzs)&&(r);z++,r--)
for (y=y0-r;y<y0+r;y++)
if ((y>=0)&&(y<gys))
for (x=x0-r;x<x0+r;x++)
if ((x>=0)&&(x<gxs))
map[z][y][x]=_cell_type_full;
}
}
//---------------------------------------------------------------------------
#endif
//---------------------------------------------------------------------------
布局仅定义坐标系轴方向（供您使用#define isometric_layout_2）。这使用Borlands VCL， Graphics::TBitmap因此如果您不使用Borland，请将其更改为任何GDI位图或将 gfx 部分覆盖到您的 gfx API（它仅与draw()和相关resize()）。也是VCL 的TShiftState一部分，它只是鼠标按钮和特殊键的状态，如, ，因此您可以使用或其他任何方式（目前未使用，因为我还没有任何点击功能）。shiftaltctrlbool
这是我的Borland窗口代码（带有一个计时器的单一表单应用程序），因此您可以了解如何使用它：
//$$---- Form CPP ----
//---------------------------------------------------------------------------
#include <vcl.h>
#pragma hdrstop
#include "win_main.h"
#include "isometric.h"
//---------------------------------------------------------------------------
#pragma package(smart_init)
#pragma resource "*.dfm"
TMain *Main;
isometric iso;
//---------------------------------------------------------------------------
void TMain::draw()
{
iso.draw();
Canvas->Draw(0,0,iso.bmp);
}
//---------------------------------------------------------------------------
__fastcall TMain::TMain(TComponent* Owner) : TForm(Owner)
{
Cursor=crNone;
iso.map_random();
}
//---------------------------------------------------------------------------
void __fastcall TMain::FormResize(TObject *Sender)
{
iso.resize(ClientWidth,ClientHeight);
draw();
}
//---------------------------------------------------------------------------
void __fastcall TMain::FormPaint(TObject *Sender)
{
draw();
}
//---------------------------------------------------------------------------
void __fastcall TMain::tim_redrawTimer(TObject *Sender)
{
draw();
}
//---------------------------------------------------------------------------
void __fastcall TMain::FormMouseMove(TObject *Sender, TShiftState Shift, int X,int Y) { iso.mouse(X,Y,Shift); draw(); }
void __fastcall TMain::FormMouseDown(TObject *Sender, TMouseButton Button,TShiftState Shift, int X, int Y) { iso.mouse(X,Y,Shift); draw(); }
void __fastcall TMain::FormMouseUp(TObject *Sender, TMouseButton Button,TShiftState Shift, int X, int Y) { iso.mouse(X,Y,Shift); draw(); }
//---------------------------------------------------------------------------
void __fastcall TMain::FormDblClick(TObject *Sender)
{
iso.map_random();
}
//---------------------------------------------------------------------------
[Edit1] 图形方法
看看简单的 OpenGL GUI 框架用户交互建议？.
主要思想是创建存储渲染单元格 ID 的阴影屏幕缓冲区。这O(1)只需几行代码即可提供像素完美的精灵/单元格选择。
创建阴影屏幕缓冲区 idx[ys][xs]
它应该与您的地图视图具有相同的分辨率并且应该能够将(x,y,z)渲染单元的值存储在单个像素内（以地图网格单元为单位）。我使用 32 位像素格式，所以我选择12位为x,y和8位为z
DWORD color = (x) | (y<<12) | (z<<24)
在渲染地图之前清除此缓冲区
我使用0xFFFFFFFF空颜色，所以它不会与 cell 发生冲突(0,0,0)。
在地图单元格精灵渲染上
每当您将像素渲染到屏幕缓冲区时，pyx[y][x]=color您也会将像素渲染到阴影屏幕缓冲区idx[y][x]=c，其中c在地图网格单元中对单元格位置进行编码（参见#1）。
单击鼠标（或其他）
您获得了鼠标的屏幕位置，mx,my因此如果它在范围内，只需读取阴影缓冲区并获取选定的单元格位置。
c=idx[my][mx]
if (c!=0xFFFFFFFF)
{
x= c &0x00000FFF;
y=(c>>12)&0x00000FFF;
z=(c>>24)&0x000000FF;
}
else
{
// here use the grid floor cell position formula from above approach if needed
// or have empty cell rendered for z=0 with some special sprite to avoid this case.
}
通过以上编码此地图（屏幕）：
也像这样渲染到阴影屏幕：
选择是像素完美无所谓，如果你点击顶部，侧面...
使用的瓷砖是：
Title: Isometric 64x64 Outside Tileset
Author: Yar
URL: http://opengameart.org/content/isometric-64x64-outside-tileset
License(s): * CC-BY 3.0 http://creativecommons.org/licenses/by/3.0/legalcode
这里是 Win32 演示：
