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Learning Continuous Implicit Representation for Near-Periodic Patterns

2022/08/25 by Bo‐Wei Chen, Chen, Bowei, Tiancheng Zhi +5 · 1 citation
Arts and Humanities · Earth and Planetary Sciences · Physics and Astronomy · #3D Surveying and Cultural Heritage #Artificial Intelligence (cs.AI) #Color Science and Applications #Computer Vision and Pattern Recognition (cs.CV) #Cultural Heritage Materials Analysis #FOS: Computer and information sciences #Graphics (cs.GR)

paper · pdf · doi:10.48550/arxiv.2208.12278

openalex publication_date 2022/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Near-Periodic Patterns (NPP) are ubiquitous in man-made scenes and are composed of tiled motifs with appearance differences caused by lighting, defects, or design elements. A good NPP representation is useful for many applications including image completion, segmentation, and geometric remapping. But representing NPP is challenging because it needs to maintain global consistency (tiled motifs layout) while preserving local variations (appearance differences). Methods trained on general scenes using a large dataset or single-image optimization struggle to satisfy these constraints, while methods that explicitly model periodicity are not robust to periodicity detection errors. To address these challenges, we learn a neural implicit representation using a coordinate-based MLP with single image optimization. We design an input feature warping module and a periodicity-guided patch loss to handle both global consistency and local variations. To further improve the robustness, we introduce a periodicity proposal module to search and use multiple candidate periodicities in our pipeline. We demonstrate the effectiveness of our method on more than 500 images of building facades, friezes, wallpapers, ground, and Mondrian patterns on single and multi-planar scenes.

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