TL;DR: We introduce FLAIR, combining novel Band-Localized Actvation (BLA) and Wavelet-Energy-Guided Encoding (WEGE)
to enable joint frequency selectivity and spatial localization, effectively mitigating spectral bias in implicit neural representations.
Implicit Neural Representations (INRs) leverage neural networks to map coordinates to corresponding signals,
enabling continuous and compact representations. This paradigm has driven significant advances in various vision tasks.
However, existing INRs lack frequency selectivity and spatial localization leading to an
over-reliance on redundant signal components. Consequently, they exhibit spectral bias, tending to learn low-frequency
components early while struggling to capture fine high-frequency details.
To address these issues, we propose FLAIR (Frequency- and Locality-Aware Implicit Neural Representations),
which incorporates two key innovations. The first is Band-Localized Activation (BLA), a novel activation designed for joint frequency
selection and spatial localization under the constraints of the time-frequency uncertainty principle (TFUP).
The second is Wavelet-Energy-Guided Encoding (WEGE), which leverages the discrete wavelet transform (DWT) to
compute energy scores and explicitly guide frequency information to the network.
Our method consistently outperforms existing INRs in 2D image representation, as well as 3D shape reconstruction and novel view synthesis.