Thursday, July 4, 2019

Polygon Table

Polygon table

This is the specification of polygon surface using vertex co-ordinate and other attributes.

1) geometric data table consist of vertex, edges and surface.
2) attribute table consists of degree of transparency and surface reflective etc.
3) some consistency checks of the geometric data table are

•every vertex is listed as an endpoint for at least two ages.
• every edge is the part of at least one polygon.
• every polygon is the closed structure

Polygon Table

Vertex Table
x1 y1 z1
x2 y2 z2
x3 y3 z3
x4 y4 z4
x5 y5 z5
Edge Table
V1 V2
V2 V3
V3 V4
V4 V5
V5 V1    

Vertex Table
S1 : E1, E2, E6
S2: E3, E4, E5, E6

Plane equations and visible points

Consider of cube each of 6 planes has two sides inside face and outside face for each plane (in a right-hand coordinates system) if we look its surface and take 3 points in in counter clockwise direction (x1, y1), (x2, y2) and (x3, y3) compute with the four values ABCD as
Plane equations and visible points

Then the plane equation at the form
Ax + By + Cz + D = 0
With the following property if
Ax + By + Cz + D < 0
Then x, y point is inside the surface. If
Ax + By + Cz + D > 0 < 1
Then point x, y is outside surface

Read first :- Polygon Mesh Surface

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