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Image space versus object space methods

Short answer

Object-space methods compare objects in 3D world coordinates to determine visible surfaces exactly, independent of resolution (e.g., back-face detection). Image-space methods decide visibility per pixel on the projection plane using depth comparisons, resolution dependent (e.g., Z-buffer).

Differentiate between image-space and object-space methods for visible (hidden) surface detection.

Visible-surface detection algorithms are divided into two classes.

  • Object-space methods compare objects (or parts of objects) with each other in 3D to decide which surfaces are visible. Example: back-face detection, depth sorting (painter's algorithm), BSP tree.
  • Image-space methods decide visibility pixel by pixel on the projection plane: for each pixel the surface with the nearest depth is found. Example: z-buffer (depth buffer), A-buffer, scan-line method.
PointObject-space methodImage-space method
Works onObjects/polygons in 3D worldPixels of the display
AccuracyPrecision of the object description (exact)Limited by screen resolution
Basic operationCompare each object with all othersFor each pixel, compare depths of surfaces
CostGrows with number of objects (about n²)Grows with number of pixels (resolution)
OutputVisible parts of objects, resolution independentPixel values for a given resolution
Resolution changeNeed not be recomputedMust be recomputed
ImplementationComplex geometry, difficultSimple, hardware friendly
ExamplesBack-face, painter's, BSPZ-buffer, A-buffer, scan-line, ray casting
SuitsSimple scenes with few objectsComplex scenes

✓ Answer checked by Claude Opus 5.5 (high effort)

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