Visibility and Hidden Surface Removal

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Warnock’s Algorithm • How to determine that case 4 applies (no polygon penetration)? – Check for depth values of all planes of the polygons involved at the four corners of the square area – If a surrounding polygon wins at all four depth values © Machiraju/Zhang/Möller 72
Warnock’s Algorithm • If none of the cases 1 – 4 apply, the area is subdivided • If none of the cases 1 – 4 is true <strong>and</strong> cannot subdivide any more, e.g., at pixel precision, (that is unlucky) then we can assign a color of the closest polygon from the center of the pixel for example © Machiraju/Zhang/Möller 73
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Visibility and Hidden Surface Remov
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Reading • Angel - Chapter 6.10-6.
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Visibility (2) • Connecting dots
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Visibility (4) • Include shading
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Visibility (6) • wireframe © Mac
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Visibility (8) • Inter-object vis
Page 13 and 14:
Why compute visibility? • Realism
Page 15 and 16:
Classification of algorithms • Hi
Page 17 and 18:
Object Space for each object in wor
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How to improve efficiency • Pay a
Page 21 and 22: 1. Coherence • Why? — Object pr
Page 23 and 24: 1. Edge and face coherence • Edge
Page 25 and 26: 2. Use of projection normalization
Page 27 and 28: 2. Perspective Transform • Can br
Page 29 and 30: 3. Bounding Objects (2) • For ren
Page 31 and 32: 3. Bounding Objects (4) • rectang
Page 33 and 34: 4. Back-face culling • Assumption
Page 35 and 36: 5. Spatial Partitioning • break a
Page 37 and 38: 6. Hierarchy • Use (e.g., semanti
Page 39 and 40: z-buffer algorithm revisited • On
Page 41 and 42: z-buffer: exploiting depth coherenc
Page 43 and 44: z-buffer: bilinear interpolation
Page 45 and 46: List Priority (2) • Depth compari
Page 47 and 48: List Priority (4) • Do extents in
Page 49 and 50: List Priority (6) • Do polygons c
Page 51 and 52: List Priority (8) • If these test
Page 53 and 54: List Priority (10) • More example
Page 55 and 56: Scanline: data structure • Recall
Page 57 and 58: Scanline Example • Another repres
Page 59 and 60: Scanline: scan example 2 • At sca
Page 61 and 62: Scanline: scan example 4 • Mainta
Page 63 and 64: Scanline problems • Beware of lar
Page 65 and 66: Building the BSP trees • Object s
Page 67 and 68: BSP traversal example • Rendering
Page 69 and 70: Warnock’s subdivision • Divide
Page 71: Warnocks Algorithm (3) - Single sur
Page 75: Final issues on area subdivision
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Visibility and Hidden Surface Removal

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