{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture21

# lecture21 - Advanced Computer Graphics Computer Animation...

This preview shows pages 1–10. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Advanced Computer Graphics Computer Animation Implicit Surfaces Professor Brogan Many slides from Brian Wyvill’s online materials at U. Calgary Papers for Tuesday • Spacetime Constraints, Witkin and Kass – Siggraph • Deep-water Animation and Rendering – Gamasutra.com, Sept 26, 2001 Implicit Surfaces • Surfaces defined by points that satisfy – f(P) = 0 Implicit Function • Example, a circle – Parametric • x=r cos( α ) • y=r sin( α ) – Implicit • x 2 + y 2 + r 2 = 0 Implicit Surface Modeling • Useful for modeling natural and smooth/organic synthetic phenomena – Living forms, liquids, clouds • Each primitive is represented by a skeletal element which contributes in defining a scalar field – Every point in space is assigned a scalar value equal to shortest distance to a skeletal element Implicit Surface Modeling • Simplest skeletal element is a point • A (distance) contour of that point defines the (surface of the) model • Ex: two points approach and their contours blend Combining Skeletal Primitives Blending Skeletal Elements • Define a simple surface as: – A central point, C – A radius of influence, R – A density function, f() – A threshold value, T • All points, P, for which dist (P, C) < R • Implicit surface = f (dist(P, C)) – T = 0 Blending Skeletal Elements • Example: metaballs – f(dist) = – Surface drawn where f(dist) – T = 0 Surface drawn at this radius Value of T Blending Skeletal Elements • Example: two metaballs • Surface drawn where: – f(dist 1 ) + f(dist 2 ) – T = 0 Do we draw surface here?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 35

lecture21 - Advanced Computer Graphics Computer Animation...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online