Mathematical Progress in Expressive Image Synthesis II

Part I Geometry.- A Geometric Approach to Elasticity, Contact and Design.- Computer Graphics in Minimal Surface Theory.- Explicit Formula and Extension of the Discrete Power Function Associated with the Circle Patterns of Schramm Type.- On Connectivity of Discretized 2D Explicit Curve.- Part II Animation.- Fast Implicit Simulation of Flexible Trees.- Probe-type Deformers.- Controllable Skeleton-sheets Representation via Shape Diameter Function.- Super resolution from Principal Component Models by RKHS Sampling.- Part III Visual Perception and Illusion.- From Mathematical Study of Visual Information Processing in the Brain to Image Processing.- Computational Creation of a New Illusionary Solid Sign with Shading Effect.- Part IV Simulation and Sampling.- Mathematical Model for Epidermal Homeostasis.- A Prior Reduced Model of Dynamical Systems.- Real-time Volume Visualization for Large-scale Grid-based Fluid Simulations on Distributed Multi-GPU Systems.- Importance Sampling for Cloth Rendering under Environment Light.