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In this article, a sequence is presented that achieves the shortest possible encoding time for each <jats:italic>k<\/jats:italic>\u2010space point, limited by pulse length, hardware switching times, and gradient performance of the scanner. In pointwise encoding time reduction with radial acquisition (PETRA), outer <jats:italic>k<\/jats:italic>\u2010space is filled with radial half\u2010projections, whereas the centre is measured single pointwise on a Cartesian trajectory. This hybrid sequence combines the features of single point imaging with radial projection imaging. No hardware changes are required. Using this method, 3D images with an isotropic resolution of 1 mm can be obtained in less than 3 minutes. The differences between PETRA and the ultrashort echo time (UTE) sequence are evaluated by simulation and phantom measurements. Advantages of pointwise encoding time reduction with radial acquisition are shown for tissue with a <jats:italic>T<\/jats:italic><jats:sub>2<\/jats:sub> below 1 ms. The signal to noise ratio and Contrast\u2010to\u2010noise ratio (CNR) performance, as well as possible limitations of the approach, are investigated. In\u2010vivo head, knee, ankle, and wrist examples are presented to prove the feasibility of the sequence. In summary, fast imaging with ultrashort echo time is enabled by PETRA and may help to establish new routine clinical applications of ultrashort echo time sequences. 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