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Domain-Informed Spl...
Domain-Informed Spline Interpolation
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- Behjat, Hamid (author)
- Lund University,Lunds universitet,Institutionen för biomedicinsk teknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Biomedical Engineering,Departments at LTH,Faculty of Engineering, LTH
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- Dogan, Zafer (author)
- Harvard University
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- Van De Ville, Dimitri (author)
- Swiss Federal Institute of Technology,University of Geneva
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- Sornmo, Leif (author)
- Lund University,Lunds universitet,Institutionen för biomedicinsk teknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Biomedical Engineering,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2019
- 2019
- English 13 s.
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In: IEEE Transactions on Signal Processing. - 1053-587X. ; 67:15, s. 3909-3921
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Abstract
Subject headings
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- Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to different brain tissue. We propose an interpolation method that instead exploits prior information about domain inhomogeneity, characterized by different, potentially overlapping, subdomains. As proof of concept, the focus is put on extending conventional shift-invariant B-spline interpolation. Given a known inhomogeneous domain, B-spline interpolation of a given order is extended to a domain-informed, shift-variant interpolation. This is done by constructing a domain-informed generating basis that satisfies stability properties. We illustrate example constructions of domain-informed generating basis and show their property in increasing the coherence between the generating basis and the given inhomogeneous domain. By advantageously exploiting domain knowledge, we demonstrate the benefit of domain-informed interpolation over standard B-spline interpolation through Monte Carlo simulations across a range of B-spline orders. We also demonstrate the feasibility of domain-informed interpolation in a neuroimaging application where the domain information is available by a complementary image contrast. The results show the benefit of incorporating domain knowledge so that an interpolant consistent to the anatomy of the brain is obtained.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Annan data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Other Computer and Information Science (hsv//eng)
- NATURVETENSKAP -- Biologi -- Strukturbiologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Structural Biology (hsv//eng)
Keyword
- B-splines
- context-based interpolation
- interpolation
- multi-modal image interpolation
- Sampling
Publication and Content Type
- art (subject category)
- ref (subject category)
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