https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/tags/graph-representation/Graph RepresentationHugo Blox Builder (https://hugoblox.com)en-usMon, 01 Jan 2024 00:00:00 +0000https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/media/logo.svghttps://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/tags/graph-representation/https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/Mon, 01 Jan 2024 00:00:00 +0000https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/<h2 id="assumption">Assumption:</h2> <ul> <li>(1) Smooth free-form surface: limited overall curvature; neighborhood approximated well by local plane</li> <li>(2) Sparse anomaly</li> <li>(3) Gaussian measurement noise</li> </ul> <h2 id="goal">Goal</h2> <p>Propose a computational efficient method for sparse anomaly detection of smooth free-form surface using one single point cloud sample.</p> <figure id="figure-overall-framework-of-pointsgrade"> <div class="d-flex justify-content-center"> <div class="w-100" ><img alt="Overall framework of PointSGRADE." srcset=" /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28a%29_hu7509f4a46b7c2c8f3117c9b161c031fb_153584_b4b79a6c819579faad02793b5ca46265.webp 400w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28a%29_hu7509f4a46b7c2c8f3117c9b161c031fb_153584_573a73ec2f6236ee1afaa4941242e815.webp 760w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28a%29_hu7509f4a46b7c2c8f3117c9b161c031fb_153584_1200x1200_fit_q75_h2_box_3.webp 1200w" src="https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28a%29_hu7509f4a46b7c2c8f3117c9b161c031fb_153584_b4b79a6c819579faad02793b5ca46265.webp" width="760" height="201" loading="lazy" data-zoomable /></div> </div><figcaption> Overall framework of PointSGRADE. </figcaption></figure> <h2 id="overall-framework-of-pointsgrade">Overall framework of PointSGRADE.</h2> <figure id="figure-formulation-and-graph-representation-for-smooth-free-form-surface"> <div class="d-flex justify-content-center"> <div class="w-100" ><img alt="Formulation and graph representation for smooth free-form surface." srcset=" /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28b%29_huf3413f85404ca6809ce10d0e94047ccf_323109_491a2a4a93b479be167820de2af3504d.webp 400w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28b%29_huf3413f85404ca6809ce10d0e94047ccf_323109_8080561b2f7a48a40c129e46681599b6.webp 760w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28b%29_huf3413f85404ca6809ce10d0e94047ccf_323109_1200x1200_fit_q75_h2_box_3.webp 1200w" src="https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28b%29_huf3413f85404ca6809ce10d0e94047ccf_323109_491a2a4a93b479be167820de2af3504d.webp" width="760" height="247" loading="lazy" data-zoomable /></div> </div><figcaption> Formulation and graph representation for smooth free-form surface. </figcaption></figure> <h2 id="formulation-and-graph-representation-for-smooth-free-form-surface">Formulation and graph representation for smooth free-form surface.</h2> <p> <figure id="figure-a"> <div class="d-flex justify-content-center"> <div class="w-100" ><img alt="(a)" srcset=" /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28c%29_hu58c929d0c13203e10c5123befa4c7789_94038_d32f34bb1a200e7fde8880c0ecf906ef.webp 400w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28c%29_hu58c929d0c13203e10c5123befa4c7789_94038_caf51f3496ebcf1d14ba57cf29fed6ea.webp 760w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28c%29_hu58c929d0c13203e10c5123befa4c7789_94038_1200x1200_fit_q75_h2_box_3.webp 1200w" src="https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/1.4%28c%29_hu58c929d0c13203e10c5123befa4c7789_94038_d32f34bb1a200e7fde8880c0ecf906ef.webp" width="760" height="196" loading="lazy" data-zoomable /></div> </div><figcaption> (a) </figcaption></figure> <figure id="figure-b"> <div class="d-flex justify-content-center"> <div class="w-100" ><img alt="(b)" srcset=" /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/formulation1_hu196bf5d248eb6d22fb244b590e99bbc4_172690_0622dc2bc5b4df580630acc700337b28.webp 400w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/formulation1_hu196bf5d248eb6d22fb244b590e99bbc4_172690_8dccdc9fb01bb9b5adb6644d0820e6a4.webp 760w, /juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/formulation1_hu196bf5d248eb6d22fb244b590e99bbc4_172690_1200x1200_fit_q75_h2_box_3.webp 1200w" src="https://personal.hkust-gz.edu.cn/juandu/IDADM-Lab/juandu/IDADM-Lab/publication/tao-point-sgrade-sparse-learning-2024/formulation1_hu196bf5d248eb6d22fb244b590e99bbc4_172690_0622dc2bc5b4df580630acc700337b28.webp" width="760" height="184" loading="lazy" data-zoomable /></div> </div><figcaption> (b) </figcaption></figure> </p>