Algebraic Splats Representation for Point Based Models

The primitives of point-based representations are independent but are rendered using surfels, which approximate the immediate neighborhood of each point linearly. A large number of surfels are needed to convey the exact shape. Higher-order approximations of the local neighborhood have the potential to represent the shape using fewer primitives,simultaneously achieving higher rendering speeds. In this paper, we propose algebraic splats as a basic primitive of representation for point based models. An algebraic splat based representation can be computed using a moving least squares procedure. We specifically study low order polynomial splats in this paper. Quadratic and cubic splats provide good quality and high rendering speed using far fewer primitives on a wide range of models. They can also be rendered fast using ray tracing on modern GPUs. We also present an algorithm to construct a representation of a model with a user-specified number of primitives. Our method to generates a hole...

• Type: Conference
• Year: 2008
• Where: ICVGIP
• Authors: Naveen Kumar Bolla, P. J. Narayanan
• Keywords: Algebraic Splats, Computer Vision, ICVGIP 2008, Order Polynomial Splats, Rendering Speed