  Weak values are typically obtained experimentally by performing weak
measurements, which involve weak interactions between the measured system and a
probe. However, the determination of weak values does not necessarily require
weak measurements, and several methods without weak system-probe interactions
have been developed previously. In this work, a framework for measuring weak
values is proposed to describe the relationship between various weak
measurement techniques in a unified manner. This framework, which uses a
probe-controlled system transformation instead of the weak system-probe
interaction, improves the understanding of the currently used weak value
measurement methods. Furthermore, a diagrammatic representation of the proposed
framework is introduced to intuitively identify the complex values obtained in
each measurement system. By using this diagram, a new method for measuring weak
values with a desired function can be systematically derived. As an example, a
scan-free and more efficient direct measurement method of wavefunctions than
the conventional techniques using weak measurements is developed.
