Acquisition-weighting improves the localization of MRI experiments. An approach to acquisition-weighting in a purely phaseencoded experiment is presented that is based on a variation of the sampling density in k-space. In contrast to conventional imaging or to accumulation-weighting, where k-space is sampled with uniform increments, density-weighting varies the distance between neighboring sampling points ⌬k to approximate a given radial weighting function. A fast, noniterative algorithm has been developed to calculate the sampling matrix in one, two, and three dimensions from a radial weighting function w(k), the desired number of scans NA tot and the nominal spatial resolution ⌬x nom . Density-weighted phase-encoding combines the improved shape of the spatial response function and the high SNR of acquisition-weighting with an extended field of view. The artifact energy that results from aliasing due to a small field of view is substantially reduced. The properties of density-weighting are compared to uniform and to accumulation-weighted phase-encoding in simulations and experiments. Density-weighted 31 In metabolic MRI in vivo, low concentrations commonly lead to low signal-to-noise ratios (SNRs). Although fast imaging methods with readout encoding offer comparably high sensitivity (1-4), pure phase-encoding (PE) in all spatially resolved dimensions is still the gold standard in sensitivity-limited MR experiments (5). The low achievable spatial resolution results in severe signal contamination from neighboring regions due to the sidelobes of the spatial response function (SRF). The SRF characterizes the spatial origin of the signals contributing to a distinct voxel (6). If averaging is necessary, acquisition-weighting by variable accumulation numbers for different k-space positions can strongly suppress the sidelobes of the SRF, resulting in a significant reduction of the contamination (7,8). This kind of acquisition-weighting, which is based on variable accumulation of the different PE steps, is in the following referred to as "accumulation-weighting" or "AW." The term "conventional" is used in this context for a uniformly sampled (UW) experiment with equal accumulation numbers. Compared to conventional uniform (UW) weighting, AW improves the SRF without any loss of SNR at identical resolution and experiment duration (6 -8). However, due to the higher accumulation numbers in central k-space and the need for an increased number of different PE steps to preserve spatial resolution, ⌬x nom , AW results in a smaller achievable field of view (FOV) compared to a UW experiment with identical total number of accumulations and spatial resolution. An improved form of acquisition-weighting is presented, "densityweighting" (DW).DW is based on a variation of the density of sampling points in k-space. Compared to AW, DW preserves the favorable shape of the SRF, but extends the accessible FOV. In DW the overall number of different sampling positions is maximized to the total number of scans. Furthermore, the sampling poin...