This blog is set up to record research work progress by Raymond in the Dynamic Graphics Project lab in the University of Toronto http://www.dgp.toronto.edu/~yunyunzai/ Tue, 06 Jan 2015 23:28:02 -0500 Tue, 06 Jan 2015 23:28:02 -0500 Jekyll v2.4.0 <p>Thesis title: High Order Fast Wavelet Transform Implementation to Reproducing Kernel Theory in Image Spacing Sampling</p> <p>Abstract</p> <p>Acknowledgements</p> <p>Chapter 1: Introduction <br /> 1.1 Motivation <br /> 1.2 Thesis Organization <br /> {Monte Carlo Sampling} <br /></p> <p>Chapter 2 Introduction to The Light Transport Problem <br /> 2.1 Global Illumination <br /> 2.2 Ray Tracing With Importance sampling <br /> 2.3 Image Space Sampling <br /> 2.4 PBRT Traditional Sampling Strategies <br /></p> <p>Chapter 3; Discuss Some Recent Importance/Adaptive Sampling Approaches <br /> 3.1 Local Variance Measurement Samplings <br /> 3.2 Edge Smearing Sampling <br /> 3.3 Frequency Based Ray Tracer <br /> M. R. Bolin and G. W. Meyer, “A Frequency Based Ray Tracer,” in SIGGRAPH ’95: Proceedings of the 22nd annual conference on computer graphics and interactive techniques, 1995, pp. 409–418. OR SMALL SECTION BEFORE <br /> 3.4 Recent Approach: Overbeck’s Adaptive Wavelet Rendering <br /></p> <p>Chapter 4: Wavelet as Basis <br /> 4.1 Background: Wavelets and the DWT <br /> 4.2 Daubechies Wavelet <br /> 4.3 Reproducibility of the Daubechies Scaling Functions <br /> 4.4 Behaviors of Reproducibility under Scaling and Translation <br /> 4.5 Future Works <br /></p> <p>Chapter 5: Fast Wavelet Transform Implementation <br /> 5.1 1-D Derivation <br /> 5.2 Segmented Function Wavelet Basis FWT <br /> 5.3 2-D Derivation <br /> 5.4 Comparison with Original DB Internal Wavelet Basis <br /> 5.5 Future Speedup Interpolation Schemes on FWT <br /> 5.6 Adaptive Order Reconstruction <br /></p> <p>Chapter 6: Conclusion <br /> References <br /></p> Thu, 11 Dec 2014 08:55:44 -0500 http://www.dgp.toronto.edu/~yunyunzai/jekyll/update/2014/12/11/thesis-outline.html http://www.dgp.toronto.edu/~yunyunzai/jekyll/update/2014/12/11/thesis-outline.html jekyll update Thu, 25 Sep 2014 09:55:44 -0400 http://www.dgp.toronto.edu/~yunyunzai/jekyll/update/2014/09/25/edge-derive-writeup.html http://www.dgp.toronto.edu/~yunyunzai/jekyll/update/2014/09/25/edge-derive-writeup.html jekyll update