Shape recovery from reflection.

by Yingli Tian.Thesis (Ph.D.)--Chinese University of Hong Kong, 1996.Includes bibliographical references (leaves 202-222).Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Physics-Based Shape Recovery Techniques --- p.3Chapter 1.2 --- Proposed Approaches to Shape Recovery in this Thesis --- p.9Chapter 1.3 --- Thesis Outline --- p.13Chapter 2 --- Camera Model in Color Vision --- p.15Chapter 2.1 --- Introduction --- p.15Chapter 2.2 --- Spectral Linearization --- p.17Chapter 2.3 --- Image Balancing --- p.21Chapter 2.4 --- Spectral Sensitivity --- p.24Chapter 2.5 --- Color Clipping and Blooming --- p.24Chapter 3 --- Extended Light Source Models --- p.27Chapter 3.1 --- Introduction --- p.27Chapter 3.2 --- A Spherical Light Model in 2D Coordinate System --- p.30Chapter 3.2.1 --- Basic Photometric Function for Hybrid Surfaces under a Point Light Source --- p.32Chapter 3.2.2 --- Photometric Function for Hybrid Surfaces under the Spher- ical Light Source --- p.34Chapter 3.3 --- A Spherical Light Model in 3D Coordinate System --- p.36Chapter 3.3.1 --- Radiance of the Spherical Light Source --- p.36Chapter 3.3.2 --- Surface Brightness Illuminated by One Point of the Spher- ical Light Source --- p.38Chapter 3.3.3 --- Surface Brightness Illuminated by the Spherical Light Source --- p.39Chapter 3.3.4 --- Rotating the Source-Object Coordinate to the Camera- Object Coordinate --- p.41Chapter 3.3.5 --- Surface Reflection Model --- p.44Chapter 3.4 --- Rectangular Light Model in 3D Coordinate System --- p.45Chapter 3.4.1 --- Radiance of a Rectangular Light Source --- p.45Chapter 3.4.2 --- Surface Brightness Illuminated by One Point of the Rect- angular Light Source --- p.47Chapter 3.4.3 --- Surface Brightness Illuminated by a Rectangular Light Source --- p.47Chapter 4 --- Shape Recovery from Specular Reflection --- p.54Chapter 4.1 --- Introduction --- p.54Chapter 4.2 --- Theory of the First Method --- p.57Chapter 4.2.1 --- Torrance-Sparrow Reflectance Model --- p.57Chapter 4.2.2 --- Relationship Between Surface Shapes from Different Images --- p.60Chapter 4.3 --- Theory of the Second Method --- p.65Chapter 4.3.1 --- Getting the Depth of a Reference Point --- p.65Chapter 4.3.2 --- Recovering the Depth and Normal of a Specular Point Near the Reference Point --- p.67Chapter 4.3.3 --- Recovering Local Shape of the Object by Specular Reflection --- p.69Chapter 4.4 --- Experimental Results and Discussions --- p.71Chapter 4.4.1 --- Experimental System and Results of the First Method --- p.71Chapter 4.4.2 --- Experimental System and Results of the Second Method --- p.76Chapter 5 --- Shape Recovery from One Sequence of Color Images --- p.81Chapter 5.1 --- Introduction --- p.81Chapter 5.2 --- Temporal-color Space Analysis of Reflection --- p.84Chapter 5.3 --- Estimation of Illuminant Color Ks --- p.88Chapter 5.4 --- Estimation of the Color Vector of the Body-reflection Component Kl --- p.89Chapter 5.5 --- Separating Specular and Body Reflection Components and Re- covering Surface Shape and Reflectance --- p.91Chapter 5.6 --- Experiment Results and Discussions --- p.92Chapter 5.6.1 --- Results with Interreflection --- p.93Chapter 5.6.2 --- Results Without Interreflection --- p.93Chapter 5.6.3 --- Simulation Results --- p.95Chapter 5.7 --- Analysis of Various Factors on the Accuracy --- p.96Chapter 5.7.1 --- Effects of Number of Samples --- p.96Chapter 5.7.2 --- Effects of Noise --- p.99Chapter 5.7.3 --- Effects of Object Size --- p.99Chapter 5.7.4 --- Camera Optical Axis Not in Light Source Plane --- p.102Chapter 5.7.5 --- Camera Optical Axis Not Passing Through Object Center --- p.105Chapter 6 --- Shape Recovery from Two Sequences of Images --- p.107Chapter 6.1 --- Introduction --- p.107Chapter 6.2 --- Method for 3D Shape Recovery from Two Sequences of Images --- p.109Chapter 6.3 --- Genetics-Based Method --- p.111Chapter 6.4 --- Experimental Results and Discussions --- p.115Chapter 6.4.1 --- Simulation Results --- p.115Chapter 6.4.2 --- Real Experimental Results --- p.118Chapter 7 --- Shape from Shading for Non-Lambertian Surfaces --- p.120Chapter 7.1 --- Introduction --- p.120Chapter 7.2 --- Reflectance Map for Non-Lambertian Color Surfaces --- p.123Chapter 7.3 --- Recovering Non-Lambertian Surface Shape from One Color Image --- p.127Chapter 7.3.1 --- Segmenting Hybrid Areas from Diffuse Areas Using Hue Information --- p.127Chapter 7.3.2 --- Calculating Intensities of Specular and Diffuse Compo- nents on Hybrid Areas --- p.128Chapter 7.3.3 --- Recovering Shape from Shading --- p.129Chapter 7.4 --- Experimental Results and Discussions --- p.131Chapter 7.4.1 --- Simulation Results --- p.131Chapter 7.4.2 --- Real Experimental Results --- p.136Chapter 8 --- Shape from Shading under Multiple Extended Light Sources --- p.142Chapter 8.1 --- Introduction --- p.142Chapter 8.2 --- Reflectance Map for Lambertian Surface Under Multiple Rectan- gular Light Sources --- p.144Chapter 8.3 --- Recovering Surface Shape Under Multiple Rectangular Light Sources --- p.148Chapter 8.4 --- Experimental Results and Discussions --- p.150Chapter 8.4.1 --- Synthetic Image Results --- p.150Chapter 8.4.2 --- Real Image Results --- p.152Chapter 9 --- Shape from Shading in Unknown Environments by Neural Net- works --- p.167Chapter 9.1 --- Introduction --- p.167Chapter 9.2 --- Shape Estimation --- p.169Chapter 9.2.1 --- Shape Recovery Problem under Multiple Rectangular Ex- tended Light Sources --- p.169Chapter 9.2.2 --- Forward Network Representation of Surface Normals --- p.170Chapter 9.2.3 --- Shape Estimation --- p.174Chapter 9.3 --- Application of the Neural Network in Shape Recovery --- p.174Chapter 9.3.1 --- Structure of the Neural Network --- p.174Chapter 9.3.2 --- Normalization of the Input and Output Patterns --- p.175Chapter 9.4 --- Experimental Results and Discussions --- p.178Chapter 9.4.1 --- Results for Lambertian Surface under One Rectangular Light --- p.178Chapter 9.4.2 --- Results for Lambertian Surface under Four Rectangular Light Sources --- p.180Chapter 9.4.3 --- Results for Hybrid Surface under One Rectangular Light Sources --- p.190Chapter 9.4.4 --- Discussions --- p.190Chapter 10 --- Summary and Conclusions --- p.191Chapter 10.1 --- Summary Results and Contributions --- p.192Chapter 10.2 --- Directions of Future Research --- p.199Bibliography --- p.20

Photometric stereo for strong specular highlights

Photometric stereo (PS) is a fundamental technique in computer vision known to produce 3-D shape with high accuracy. The setting of PS is defined by using several input images of a static scene taken from one and the same camera position but under varying illumination. The vast majority of studies in this 3-D reconstruction method assume orthographic projection for the camera model. In addition, they mainly consider the Lambertian reflectance model as the way that light scatters at surfaces. So, providing reliable PS results from real world objects still remains a challenging task. We address 3-D reconstruction by PS using a more realistic set of assumptions combining for the first time the complete Blinn-Phong reflectance model and perspective projection. To this end, we will compare two different methods of incorporating the perspective projection into our model. Experiments are performed on both synthetic and real world images. Note that our real-world experiments do not benefit from laboratory conditions. The results show the high potential of our method even for complex real world applications such as medical endoscopy images which may include high amounts of specular highlights

Photometric Depth Super-Resolution

This study explores the use of photometric techniques (shape-from-shading and uncalibrated photometric stereo) for upsampling the low-resolution depth map from an RGB-D sensor to the higher resolution of the companion RGB image. A single-shot variational approach is first put forward, which is effective as long as the target's reflectance is piecewise-constant. It is then shown that this dependency upon a specific reflectance model can be relaxed by focusing on a specific class of objects (e.g., faces), and delegate reflectance estimation to a deep neural network. A multi-shot strategy based on randomly varying lighting conditions is eventually discussed. It requires no training or prior on the reflectance, yet this comes at the price of a dedicated acquisition setup. Both quantitative and qualitative evaluations illustrate the effectiveness of the proposed methods on synthetic and real-world scenarios.Comment: IEEE Transactions on Pattern Analysis and Machine Intelligence (T-PAMI), 2019. First three authors contribute equall

Single-image RGB Photometric Stereo With Spatially-varying Albedo

We present a single-shot system to recover surface geometry of objects with spatially-varying albedos, from images captured under a calibrated RGB photometric stereo setup---with three light directions multiplexed across different color channels in the observed RGB image. Since the problem is ill-posed point-wise, we assume that the albedo map can be modeled as piece-wise constant with a restricted number of distinct albedo values. We show that under ideal conditions, the shape of a non-degenerate local constant albedo surface patch can theoretically be recovered exactly. Moreover, we present a practical and efficient algorithm that uses this model to robustly recover shape from real images. Our method first reasons about shape locally in a dense set of patches in the observed image, producing shape distributions for every patch. These local distributions are then combined to produce a single consistent surface normal map. We demonstrate the efficacy of the approach through experiments on both synthetic renderings as well as real captured images.Comment: 3DV 2016. Project page at http://www.ttic.edu/chakrabarti/rgbps

Geometry-Aware Network for Non-Rigid Shape Prediction from a Single View

We propose a method for predicting the 3D shape of a deformable surface from a single view. By contrast with previous approaches, we do not need a pre-registered template of the surface, and our method is robust to the lack of texture and partial occlusions. At the core of our approach is a {\it geometry-aware} deep architecture that tackles the problem as usually done in analytic solutions: first perform 2D detection of the mesh and then estimate a 3D shape that is geometrically consistent with the image. We train this architecture in an end-to-end manner using a large dataset of synthetic renderings of shapes under different levels of deformation, material properties, textures and lighting conditions. We evaluate our approach on a test split of this dataset and available real benchmarks, consistently improving state-of-the-art solutions with a significantly lower computational time.Comment: Accepted at CVPR 201